International extradition is governed by treaties; if Country A does not have an extradition treaty with Country B, it is not required to extradite. Within the USA, however, extradition is governed by Article Four of the Constitution, which requires a state to "deliver up" a fugitive who has been charged with a crime by another state. So all states extradite.

Every state extradites to other states, assuming the state where the crime was committed has authorized extradition for the offense. There are ways to fight extradition (if there's a problem with the arrest warrant), but there aren't any states where you can "hide" from an arrest warrant. All states have the same interstate agreement and will extradite.